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Question -

.Evaluate thedeterminants in Exercises 1 and 2.



Answer -

(i)  (ii) 


Solution

(i)  = (cos θ)(cos θ)− (−sin θ)(sin θ) = cos2 θ+ sin2 θ = 1

(ii) 

= (x2 − x + 1)(x + 1) − (x −1)(x + 1)

x3 − x2 + x + x2 − x + 1 − (x2 − 1)

x3 + 1 − x2 + 1

x3 − x2 + 2

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